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Existence of Viscosity Solutions to a System of Hyperbolic Balance Laws
  
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KeyWord:System of hyperbolic balance laws; Viscosity solutions; The invariant region
Author NameAffiliation
Qingning Zhang Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, China 
Min Cheng Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, China 
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Abstract:
      In this paper, the existence of viscous solutions of a hyperbolic equilibrium law system derived from the nonlinear entropy moment closure of a dynamic equation is established. In addition, by using the natural entropy of the system, some higher order estimates of some viscosity solutions are obtained.